Antoine is trying to find the roots for the quadratic function f (x) = x^2+25. He states that there is no solution. Is he correct? Justify your answer.

Answer: Yes, Atoine is correct.

Step-by-step explanation:

The roots of a quadratic function are also known as the solutions or the zeros of a function. Here is how we get them:

1. Let y=0 to find the x-intercept (s).

0=x^2+25

2. Subtract 25 from both sides.

-25=x&2

3. Take the square root of both sides.

±√-25

=x

4. Simplify √-25 to √ 25 ı.

±√ 25 ı=x

5. Since 5*5=25, the square root of 25 is 5.

±5ı=x

6. Switch sides.

x=±5ı

The equation above is not a real solution that represents a line.

Therefore, there are no x-intercepts.